On the diffusive behavior of isotropic diffusions in a random environment
Alain‐Sol Sznitman, Ofer Zeitouni · Comptes Rendus Mathématique · 2004
We present here results concerning the asymptotic behavior of isotropic diffusions in random environment that are small perturbations of Brownian motion. When the space dimension is three or more we prove an invariance principle as well as transience. Our methods also apply to questions of homogenization in random media.